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2002200011010 = 2325294118710401
BaseRepresentation
bin11101001000101100011…
…010111010000100000010
321002102000202112222201100
4131020230122322010002
5230301001200323020
64131444210515230
7264440245201233
oct35105432720402
97072022488640
102002200011010
11702145788701
12284058895b16
13116a6429aa34
146cc9ab3108a
15371361eca90
hex1d22c6ba102

2002200011010 has 96 divisors (see below), whose sum is σ = 5516574925680. Its totient is φ = 502935552000.

The previous prime is 2002200010973. The next prime is 2002200011033. The reversal of 2002200011010 is 101100022002.

It can be written as a sum of positive squares in 8 ways, for example, as 513138697569 + 1489061313441 = 716337^2 + 1220271^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2002200010983 and 2002200011001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9248191 + ... + 9462210.

Almost surely, 22002200011010 is an apocalyptic number.

2002200011010 is an abundant number, since it is smaller than the sum of its proper divisors (3514374914670).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002200011010 is a wasteful number, since it uses less digits than its factorization.

2002200011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18710484 (or 18710481 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2002200011010 its reverse (101100022002), we get a palindrome (2103300033012).

The spelling of 2002200011010 in words is "two trillion, two billion, two hundred million, eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 41 45 58 82 87 90 123 145 174 205 246 261 290 369 410 435 522 615 738 870 1189 1230 1305 1845 2378 2610 3567 3690 5945 7134 10701 11890 17835 21402 35670 53505 107010 18710401 37420802 56131203 93552005 112262406 168393609 187104010 280656015 336787218 542601629 561312030 767126441 841968045 1085203258 1534252882 1627804887 1683936090 2301379323 2713008145 3255609774 3835632205 4602758646 4883414661 5426016290 6904137969 7671264410 8139024435 9766829322 11506896615 13808275938 16278048870 22246666789 23013793230 24417073305 34520689845 44493333578 48834146610 66740000367 69041379690 111233333945 133480000734 200220001101 222466667890 333700001835 400440002202 667400003670 1001100005505 2002200011010